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Finding the Fourth Proportional to 402.09, 602.76 and 196.55

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Solution

The fourth proportional to 402.09, 602.76 and 196.55 is: 294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.09 : 602.76 = 196.55 : x
  2. Step 2: Convert to fraction form
    402.09/602.76 = 196.55/x
  3. Step 3: Cross multiply
    402.09x = 602.76 × 196.55
  4. Step 4: Simplify right side
    402.09x = 118,471.50
  5. Step 5: Solve for x
    x = 118,471.50/402.09
  6. Step 6: Final answer
    x = 294.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.